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We consider the probabilistic numerical scheme for fully nonlinear PDEs suggested in \cite{cstv}, and show that it can be introduced naturally as a combination of Monte Carlo and finite differences scheme without appealing to the theory of…

概率论 · 数学 2010-08-26 Arash Fahim , Nizar Touzi , Xavier Warin

Spatiotemporal projections in marine science are essential for understanding ocean systems and their impact on Earth's climate. However, existing AI-based and statistics-based inversion methods face challenges in leveraging ocean data,…

应用统计 · 统计学 2024-08-06 Zhixi Xiong , Yukang Jiang , Wenfang Lu , Xueqin Wang , Ting Tian

The statistics obtained from turbulent flow simulations are generally uncertain due to finite time averaging. The techniques available in the literature to accurately estimate these uncertainties typically only work in an offline mode, that…

流体动力学 · 物理学 2023-10-31 Saleh Rezaeiravesh , Christian Gscheidle , Adam Peplinski , Jochen Garcke , Philipp Schlatter

In this article, we introduce a moving-frame approach to the geophysical equation of two-dimensional uniformly stratified rotational fluid in oceans and find a family of exact solutions containing ten arbitrary parameter functions.

流体动力学 · 物理学 2013-06-18 Xiaoping Xu

Pixel-space full spectrum fitting exploiting non-linear $\chi^2$ minimization became a \emph{de facto} standard way of deriving internal kinematics from absorption line spectra of galaxies and star clusters. However, reliable estimation of…

天体物理仪器与方法 · 物理学 2020-04-29 Igor V. Chilingarian , Kirill A. Grishin

In order to guarantee the safety of payload, crew, and structures, ships must exhibit good seakeeping, maneuverability, and structural-response performance, also when they operate in adverse weather conditions. In this context, the…

动力系统 · 数学 2022-11-08 Andrea Serani , Paolo Dragone , Frederick Stern , Matteo Diez

Floating offshore structures often exhibit low-frequency oscillatory motions in the horizontal plane, with amplitudes in the same order as their characteristic dimensions and larger than the corresponding wave-frequency responses, making…

流体动力学 · 物理学 2021-10-07 Yanlin Shao , Zhiping Zheng , Hui Liang , Jikang Chen

Sampling equation method is presented to look for exact solutions of nonlinear differential equations. Application of this approach to one of the extensive chaos model is considered. Exact solutions of this model in travelling wave are…

可精确求解与可积系统 · 物理学 2007-05-23 Nikolai A. Kudryashov

This article presents a rigorous analysis for efficient statistically accurate algorithms for solving the Fokker-Planck equations associated with high-dimensional nonlinear turbulent dynamical systems with conditional Gaussian structures.…

统计理论 · 数学 2017-09-19 Nan Chen , Andrew J. Majda , Xin T. Tong

Extreme value analysis (EVA) uses data to estimate long-term extreme environmental conditions for variables such as significant wave height and period, for the design of marine structures. Together with models for the short-term evolution…

统计方法学 · 统计学 2024-07-30 Matthew Speers , David Randell , Jonathan Angus Tawn , Philip Jonathan

In this work we study the dynamic behaviour of compound shells of revolution partially filled with an ideal incompressible fluid based on boundary-value problems. New analytical mathematical model with corresponding discrete scheme for the…

计算工程、金融与科学 · 计算机科学 2016-06-15 Iryna Kononenko , Oleksiy Kononenko

In this article we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg-de Vries (KdV) equation. These quantities can be used to describe the shoaling of cnoidal waves approaching a…

流体动力学 · 物理学 2021-02-25 Martin O. Paulsen , Henrik Kalisch

Predictions of the wave-induced response of floating structures that are moored in a harbour or coastal waters require an accurate description of the (nonlinear) evolution of waves over variable bottom topography, the interactions of the…

大气与海洋物理 · 物理学 2022-08-19 Dirk Pieter Rijnsdorp , Hugh Wolgamot , Marcel Zijlema

We report studies on first-order Fermi acceleration in parallel modified shock waves with a large scattering center compression ratio expected from turbulence transmission models. Using a Monte Carlo technique we have modeled particle…

天体物理学 · 物理学 2009-11-11 Joni J. P. Virtanen , Rami Vainio

On-site estimation of sea state parameters is crucial for ship navigation systems' accuracy, stability, and efficiency. Extensive research has been conducted on model-based estimating methods utilizing only ship motion responses. Model-free…

机器学习 · 计算机科学 2023-01-24 Denis Selimović , Franko Hržić , Jasna Prpić-Oršić , Jonatan Lerga

A data-driven and equation-free approach is proposed and discussed to model ships maneuvers in waves, based on the dynamic mode decomposition (DMD). DMD is a dimensionality-reduction/reduced-order modeling method, which provides a linear…

动力系统 · 数学 2021-05-28 Matteo Diez , Andea Serani , Emilio F. Campana , Frederick Stern

Extreme events, such as wave-storms, need to be characterized for coastal infrastructure design purposes. Such description should contain information on both the univariate behaviour and the joint-dependence of storm-variables. These two…

A proper channel modeling methodology that characterizes the statistics of extreme events is key in the design of a system at an ultra-reliable regime of operation. The strict constraint of ultra-reliability corresponds to the packet error…

信号处理 · 电气工程与系统科学 2024-01-12 Niloofar Mehrnia , Sinem Coleri

Understanding event-by-event correlations and fluctuations is crucial for the comprehension of the dynamics of heavy ion collisions. Relativistic hydrodynamics is an elegant tool for modeling these phenomena; however, such simulations are…

计算物理 · 物理学 2018-02-19 J. Porter-Sobieraj , M. Słodkowski , D. Kikoła , J. Sikorski , P. Aszklar

We present an innovative numerical discretization of the equations of inviscid potential flow for the simulation of three dimensional unsteady and nonlinear water waves generated by a ship hull advancing in water. The equations of motion…

数值分析 · 数学 2013-02-06 Andrea Mola , Luca Heltai , Antonio DeSimone